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Economic design of X¯ control charts for two manufacturing process models

Author

Listed:
  • Margaret R. Panagos
  • Russell G. Heikes
  • Douglas C. Montgomery

Abstract

Control charts are widely used for process surveillance. The design of a control chart refers to the choice of sample size, the width of the control limits, and the interval between samples. Economic designs have been widely investigated and shown to be an effective method of determining control chart parameters. This article describes two different manufacturing process models to which the X¯ control chart is applied: The first model assumes that the process continues in operation while searches for the assignable cause are made, and the second assumes that the process must be shut down during the search. Economic models of the control chart for these two manufacturing process models are developed, and the sensitivity of the control chart parameters to the choice of model is explored. It is shown that the choice of the proper manufacturing process model is critical because selection of an inappropriate process model may result in significant economic penalties.

Suggested Citation

  • Margaret R. Panagos & Russell G. Heikes & Douglas C. Montgomery, 1985. "Economic design of X¯ control charts for two manufacturing process models," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 32(4), pages 631-646, November.
  • Handle: RePEc:wly:navlog:v:32:y:1985:i:4:p:631-646
    DOI: 10.1002/nav.3800320410
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    Cited by:

    1. Jooho Lee & Woo‐Joo Kwon, 1999. "Economic design of a two‐stage control chart based on both performance and surrogate variables," Naval Research Logistics (NRL), John Wiley & Sons, vol. 46(8), pages 958-977, December.
    2. George Tagaras, 1989. "Power approximations in the economic design of control charts," Naval Research Logistics (NRL), John Wiley & Sons, vol. 36(5), pages 639-654, October.
    3. George Tagars & Hau L. Lee, 1989. "Approximate semieconomic design of control charts with multiple control limtis," Naval Research Logistics (NRL), John Wiley & Sons, vol. 36(3), pages 337-353, June.
    4. Iziy Azamsadat & Sadeghpour Gildeh Bahram & Monabbati Ehsan, 2017. "Comparison Between the Economic-Statistical Design of Double and Triple Sampling X¯\bar{X} Control Charts," Stochastics and Quality Control, De Gruyter, vol. 32(1), pages 49-61, June.

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